Mathematics Middle School

## Answers

**Answer 1**

**Answer:**

[tex]1. 3x+21 = 6x-60\\or, 6x-3x = 21+60 [Being~corresponding~angles]\\or, 3x = 81\\or, x = 27.\\Equations: 3x+21=6x-60\\Value ~of ~x = 27\\Angle ~measure = (3x+21), (6x-60) = 3(27)+21,6(27)-60 = 102,102\\[/tex]

[tex]2. 12x - 18 = 8x+10 [Being~vertically~opposite~angles]\\or, 12x - 8x = 18+10\\or, 4x = 28\\or, x = 7\\Equations: 12x-18 = 8x+10\\Value~ of~ x: 7\\Angle ~measure: (12x-18),(8x+10) = 66,66\\[/tex]

[tex]3. Have~a~look~at~the~figure.\\Here, y = 3x+9 [Being~ vertically ~opposite ~angles]\\Also, y+5x+3 = 180^{o} [ Being~cointerior~angles]\\or, 3x^{o}+9^{o}+5x^{o}+3^{o}=180^{o}\\or, 8x^{o}+12^{o}=180^{0}\\or, 8x^{o} = 168^{o}\\or, x = 21^{o}\\So, 3x+9 = 3(21)+0 = 72^{o} ~and ~5x+3 = 5(21)+3 = 108^{o}\\Equations: y = 3x +9, y+5x+3=180^{o}\\Value ~of~ x: 21^{o}\\Angle ~measure: 72^{o},108^{o}[/tex]

[tex]4.~~~~ (3x+10)^{o}+(3x-28)^{o} = 180^{o} [Being~cointerior~angles]\\or, ~~~6x -18^{o} = 180^{o}\\or, 6x=198^{o}\\or, x = 33^{o}\\So, 3x+10 = 3(33)+10 = 109^{o}~and~3x-28 = 3(33)-28 = 71^{o}\\Equations: 3x+10+3x-28 = 180^o\\Value~ of~ x: 33^o\\Angle~measure: 109^o,71^o\\[/tex]

[tex]5. Solution,\\12x+15 = 15x [Being ~alternate~angles]\\or, 15x-12x = 15\\or, 3x=15\\or, x = 5^{o}\\So, 12x+15 = 12(5)+15 = 75^o = 15x\\Equations: 12x+15=15x\\Value~of~x: 5^o\\Angle ~measure: 75^o,75^o[/tex]

## Related Questions

Which is the equation of the line in slope-intercept form?

### Answers

**Answer:**

c

**Step-by-step explanation:**

**Answer:**

c

**Step-by-step explanation:**

Good Luck

what is the blank space?

### Answers

The answer is 4 then you’ll have 4.85

The blank space would be 4

How many quarts are in 4 gallons

### Answers

**Answer:**

16

**Step-by-step explanation:**

A retailer gives a cash discount of 6% on an article listed 400 dollars.If the retailer is allowed 18% trade discount,what is the retailer's profit percent?

### Answers

**Answer: consumer discount reduces price to**

**400 - 400(.06) = 376**

**if the retailer bought the product with a 18% trade discount he or she paid 400 - 400(.18) = 328**

**the profit percent made is (376-328)/328 = .146341....**

**Step-by-step explanation: i think its answer i'm ambitious rank**

**plz mark me brainliest**

What is the value of x? WILL MARK BRAINLIEST

### Answers

Use the pythagorean theorem: a^2 + b^2 = c^2

24^2 + 7^2 = x^2

576 + 49 = x^2

x^2 = 625

√x^2 = √625

x = 25

Your answer would be X=25

Write the equation for the model below. Then solve for x.

help asap ASAP asap ASAP HELP HELP ME PLZ PLZ HELP ME

### Answers

2x+2y=4x+6y

and then x will equal 2y

In the figure below, points P, Q, and R are on a straight line. Angle RQV and Angle VQT are complementary. What is the measure of Angle PQS?

answer options

25 degrees

40 degrees

50 degrees

75 degrees

### Answers

The measure of Angle PQS is 50 degrees

please help!! i need to have this assignment done in 45 mins, thanks for the help :D

### Answers

**Answer: f(3) = g(3)**

**Step-by-step explanation:**

ok so f and g are unknown numbers and 3 is equal to 3, since f and g are unknown they could be any number so that's why there the same.

**Answer:**

*f*(3) > *g*(3)

**Step-by-step explanation:**

add 3 into each equation.

f(*x*) = 4*x*^4 g(*x*) = 10 * 2^*x*

= =

f(3) = 4(3)^4 g(3) = 10 * 2³

*Solve each equation.*

f(3) = 4(3)^4 g(3) = 10 * 2^3

= =

f(3) = 12^4 g(3) = 20^3

= =

f(3) = 20,736 g(3) = 8,000

f(3) is greater than g(3)

**f(3) > g(3)**

**Hope I helped.**

Madeleine earned $36,000 last

year. If the first $16,000 is taxed at 12% and income above that is taxed at 20%, how much does Madeleine owe in tax?

### Answers

Owed 5920 in taxes

0.12*16000+0.2*20000=5920

Miles bought a new pair of baseball cleats for $64.95. The sales tax is 6.5%. What is the total cost that Miles will pay?

### Answers

**Answer: $69.17175**

**Step-by-step explanation:**

The cleats are** $64.95**. Tax is a percentage taken off certain goods so

6.5% of **$64.95 **which can be also restructured as *6.5/100 *times **$64.95 **which is** $4.22175**. Tax is added onto the final cost so he shall pay **$64.95 **plus **$4.22175**. (I think)

1. The exponential form of 1/8 × (3)-3

2. A machine in a soft drink factory fills 600 bottles in 5 hours. How many bottles will it fill in 2 hours ?

3. The standard form of 0.000064 is :

4. The value of (-5)-2 x (-5)2

5. If ‘a’ represents the cost of apples and ‘b’ represents number of apples bought. Which option

shows that ‘a’ and ‘b’ are in inverse proportion ?

6. The value of ( 1/3 )-2

is :

7. The value of (a + b)2 – (a - b)2

is

8. If (2 )

m+2 × (2)

5 = (2 )

8

, then the value of m is:

9. Volume of a rectangular box ( cuboid ) with length = 2ab , breadth = 3ac and height = 2ac is

10. Factorised form of p2

- 17p -38

11. 12 men can dig 8 meters long trench in a day. How many men should be employed for digging

50 meter long trench of the same type in one day?

12. The area of a square is 9x2 + 24xy + 16y2

. Find the side of the square .

### Answers

**Answer:**

**Step-by-step explanation:**

The perimeter of a rectangle is 30 inches. If its width is three times its length, find the dimensions of the rectangle.

### Answers

The perimeter of a rectangle is 30 inches. If its length is three times its width, find the dimensions. 30 inches=2(L+W) Divide each side by 2. 15 inches=L+W Substitute for L.

**Answer:**

Width = 3 and the Length = 10

3.6% as a fraction in simplest form

### Answers

**Answer:**

18/5 or 3 3/5

**Step-by-step explanation:**

The** fraction** is 9/250.

3.6% as a** fraction**

We write it as,

= 3.6/100

Remove point from 3.6 by dividing by 10,

= 36/1000

= 9/250

Hence, The** fraction** is 9/250.

Learn more about the** fraction** here https://brainly.com/question/1376518

#SPJ2

Evaluate the equation. 3/4 + m = 2 1/8 A. m= 3/8 B. m= 5/8 C. m= 1 3/8 D. m= 1 5/8 FAST PLEASE I WILL GIVE BRIANLYIST!

### Answers

**Answer:**

C. m=1 3/8

**Step-by-step explanation:**

3/4+m=2 1/8

Subtract 3/4 from both sides

3/4-3/4=0

2 1/8 -3/4=1 3/8

m=1 3/8

Does anyone know this??

### Answers

I didn't learn this. Sorry

Following is in order

1/125

-1/125

-1

1

Last two I’m not completely sure but first two are definitely correct

How do we figure out the value of a variable?

A )Add up all the numbers in the equation.

B )Multiply the variable by itself.

C )Isolate the variable on one side of the equals sign.

D ) A variable has no set value.

### Answers

**Answer:**

c i think

**Step-by-step explanation:**

A sample of pure silicon has a volume of 350cm3 and a mass of826g, what is its density?

### Answers

Answer:

Step-by-step explanation:

Density=mass/volume

Density=826/350

Density=2.36g/cm³

2.36 g/cm^3 should be the answer I think

Will the graph of the line represented by the table intersect the graph of y = 5x + 4? Explain.A table showing data of x and y as (-2,5), (-1,0), (0,5), (1,10) and (2,15) respectively.

### Answers

**Answer:**

you'll need to identify the equation of the line represented in the table. By plugging in coordinates given in the table, it's possible to identify the slope and y-intercept of the line.

**Step-by-step explanation:**

Yes, the **lines **intersect each other.

What is slope?

The **slope **is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Given that, a table of **points **(-2,5), (-1,0), (0,5), (1,10) and (2,15) and a **line **

y = 5x + 4

Finding the **slope **of the line represented by the given points,

**slope **= (y₂-y₁)/(x₂-x₁)

Considering the **points **(-2,5) and (-1,0)

**Slope **= (0-5)/(-1+2) = -5/1 = -5

And the **slope **of the line y = 5x + 4 is 5

We know that, If they have different **slopes **and different y-intercepts, they will meet at a point.

Hence, the **lines **will intersect.

For more references on **slope**, click;

https://brainly.com/question/3605446

#SPJ2

Plssss hurry !!!! The question is in the photo

### Answers

**Answer:**

i can't even read what that is

**Step-by-step explanation:**

maybe 20 since 17*3 is

6 times what equals 4.5?

### Answers

**Answer:**

0.75

**Step-by-step explanation:**

4.5/6 = 0.75

How old is Jared?

A. 19

B. 8

C. 45

What can't he do?

A. ride a bike

B. algebra

C. read

### Answers

19, and he can't read

**Answer:**

8

**Step-by-step explanation:**

algebra mark as brainliest

Which quotient will be neither positive nor negative?

### Answers

**Answer:**

D. It would be D.

**Step-by-step explanation:**

Because anything divided by zero is zero, and I suppose zero is neither negative nor positive. or vise versa

I’m pretty sure it’s D but it could also be C I think

What is the solution to the system of equations below? 2x-y=10 and y=-1/2x+5

(6,2) (6,-2) (-6,-22) (-6,8)

### Answers

**Answer: (x,y) = (6,2)**

**Step-by-step explanation: hope this helps!!!!!**

Write the following as ordered pairs.

y = 6x

4x + y = 7

y = 3x

x = -2y + 70

### Answers

Y=3x ≈ 3(10)

X= -2(3x) + 70

X= -6x + 70

+6x on both sides

7x=70

Divide both sides by 7

X=10

Y=30

(10,30) should be the ordered pairs

Solve. Justify your responses.

Use statement and reason to justify

### Answers

**Answer:**

m2 = m3 = m4 = 35°

**Step-by-step explanation:**

m4 = m2 External corner and interior corner

m2 = m3 External corner and interior corner

I can just this (sorry :) )

hope it helps you ☺️

Which expression represents the product of two factors?

A.8 + ( x - 1)

B.(7 + x)(10 - 1)

C.(11 + x) + (8 - 3)

D.x ÷ (10 - 1)

### Answers

i’ve had this question before, it’s C

Question:

32 + 4/7w

w = -1/2

### Answers

**Answer:**

31 5/7 is the answer

Plug w into the equation and then solve

32+4/7(-1/2)

=222/7 (final answer)

Find the slope of each line that is graphed.

### Answers

**Answer:**

1)(5,2)

2)(6,2)

3)(-5,1)

4(-5,3)

**Step-by-step explanation:**

Hope this helps

**Answer:**

1. [tex]-\frac{3}{4}[/tex]

2. undefined

3. 1

4. 0

**Step-by-step explanation:**

Given m||n, find the value of x.

(explain answer) Helpp pleasee!! asap

### Answers

**Answer:**

x = 30 degrees

**Step-by-step explanation:**

When two parallel lines are intersected by a transversal, the alternate corresponding angles are supplementary, meaning their degree measures add up to 180. One can apply this here by stating that the two given angles add up to 180. Then one can simplify and use inverse operations to solve for (x).

(6x - 5) + (x - 25) = 180

6x - 5 + x - 25 = 180

7x - 30 = 180

+30 +30

7x = 210

/7 /7

x = 30

x=30 i hope this helped

Multiply and Diving Decimals.

Ingrid pays $6.72 for 4 pounds of apples. What's the cost of 1 pound of apples?

Answer the Problem.

State your answer.

Do all this. You'll Get brain take this wisely!!!! <333

### Answers

**Answer:**

**Step-by-step explanation:**

6.72/4= 1.68 a pound